736 On tlie Calculation of Series in Spectra. 



The series of lilies is then supposed given by 



n=A + f 



N 



(?7^^-/^ + a/m) 2, 



where A is known and £, /x, a are to be determined from 

 three successive wave-numbers n. 

 We have 



VYN) VN */N ' 



m-j- fi-\-oc/m 



2(A-n) 



-7 ? W 2 



(A — n-Y^f' 2 (A-n) 1 ' 2 

 = m+d m —y, n I; (say) 

 . * . mjju + « = md m — my m % . 



Differencing, 



fi = A(md m ) — % A(ony m ) 



0=A\md m )-^%my m ), 

 whence ,. _ A 2 (md,„) 



and fx and a follow at once. 



The method may best be exemplified by a numerical 

 example — e.g., the first three lines of ODi" above. The 

 limit is 23194+ f. 



16233-52 



10791-32 



18753-65 



12402 68 





6960-48 





4440-35 



40935156 



4-37978 



3-8426392 



475610 



3-6474172 3 T 04893 



•9465921 



•0002397 



1-1974685 



•0005703 



1 -3926907 -0011192 



•4732960 



119-8 



•5987342 



285-1 



•6963453 559-6 



2973693 





3-989484 





4-969873 



1-947386 

 2-908452 

 3-879492 



•961066 

 •971040 



•009974 



239-6 



855-3 



2238-4 



615-7 



767-4 

 1383-1 



At = -961066-13x-0006157 

 008004 

 •953062 



« = l'947386-13x '0002396-2/4 

 1-909238 

 •038148 



n=23207-00 - K 



m+'-953062 + 



•003114 

 1-906124 

 1-909238 



■038148 V- 



m J 



